---
_id: '154'
abstract:
- lang: eng
  text: We give a lower bound on the ground state energy of a system of two fermions
    of one species interacting with two fermions of another species via point interactions.
    We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is
    stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was
    not known whether this 2 + 2 system exhibits a stable region at all or whether
    the formation of four-body bound states causes an unbounded spectrum for all mass
    ratios, similar to the Thomas effect. Our result gives further evidence for the
    stability of the more general N + M system.
acknowledgement: Open access funding provided by Austrian Science Fund (FWF).
article_number: '19'
article_processing_charge: No
article_type: original
author:
- first_name: Thomas
  full_name: Moser, Thomas
  id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
  last_name: Moser
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions.
    <i>Mathematical Physics Analysis and Geometry</i>. 2018;21(3). doi:<a href="https://doi.org/10.1007/s11040-018-9275-3">10.1007/s11040-018-9275-3</a>
  apa: Moser, T., &#38; Seiringer, R. (2018). Stability of the 2+2 fermionic system
    with point interactions. <i>Mathematical Physics Analysis and Geometry</i>. Springer.
    <a href="https://doi.org/10.1007/s11040-018-9275-3">https://doi.org/10.1007/s11040-018-9275-3</a>
  chicago: Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System
    with Point Interactions.” <i>Mathematical Physics Analysis and Geometry</i>. Springer,
    2018. <a href="https://doi.org/10.1007/s11040-018-9275-3">https://doi.org/10.1007/s11040-018-9275-3</a>.
  ieee: T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point
    interactions,” <i>Mathematical Physics Analysis and Geometry</i>, vol. 21, no.
    3. Springer, 2018.
  ista: Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point
    interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.
  mla: Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System
    with Point Interactions.” <i>Mathematical Physics Analysis and Geometry</i>, vol.
    21, no. 3, 19, Springer, 2018, doi:<a href="https://doi.org/10.1007/s11040-018-9275-3">10.1007/s11040-018-9275-3</a>.
  short: T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).
date_created: 2018-12-11T11:44:55Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2023-09-19T09:31:15Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s11040-018-9275-3
ec_funded: 1
external_id:
  isi:
  - '000439639700001'
file:
- access_level: open_access
  checksum: 411c4db5700d7297c9cd8ebc5dd29091
  content_type: application/pdf
  creator: dernst
  date_created: 2018-12-17T16:49:02Z
  date_updated: 2020-07-14T12:45:01Z
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  file_name: 2018_MathPhysics_Moser.pdf
  file_size: 496973
  relation: main_file
file_date_updated: 2020-07-14T12:45:01Z
has_accepted_license: '1'
intvolume: '        21'
isi: 1
issue: '3'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P27533_N27
  name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: 3AC91DDA-15DF-11EA-824D-93A3E7B544D1
  call_identifier: FWF
  name: FWF Open Access Fund
publication: Mathematical Physics Analysis and Geometry
publication_identifier:
  eissn:
  - '15729656'
  issn:
  - '13850172'
publication_status: published
publisher: Springer
publist_id: '7767'
quality_controlled: '1'
related_material:
  record:
  - id: '52'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Stability of the 2+2 fermionic system with point interactions
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 21
year: '2018'
...